1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rusak2 [61]
2 years ago
6

A tank contains 300 liters of fluid in which 40 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu

mped into the tank at a rate of 6 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.
Mathematics
2 answers:
bonufazy [111]2 years ago
6 0

Answer:

A(t) = 300 -260e^(-t/50)

Step-by-step explanation:

The rate of change of A(t) is ...

A'(t) = 6 -6/300·A(t)

Rewriting, we have ...

A'(t) +(1/50)A(t) = 6

This has solution ...

A(t) = p + qe^-(t/50)

We need to find the values of p and q. Using the differential equation, we ahve ...

A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50

0 = 6 -p/50

p = 300

From the initial condition, ...

A(0) = 300 +q = 40

q = -260

So, the complete solution is ...

A(t) = 300 -260e^(-t/50)

___

The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.

Archy [21]2 years ago
3 0

Answer:

Thx that awnser rlllly helped

Step-by-step explanation:

You might be interested in
How to figure it out
ollegr [7]
Y = kx
72 = k*3
73/3 = k
24 = k

y = 24x

4 0
3 years ago
Find the value of x if h(x) = -25 in the function h(X) = 1/5x + 10
Dmitry_Shevchenko [17]

Answer:

x = -175

Step-by-step explanation:

Step 1: Define

h(x) = -25

h(x) = 1/5x + 10

Step 2: Substitute and Evaluate

-25 = 1/5x + 10

-35 = 1/5x

x = -175

3 0
3 years ago
Read 2 more answers
Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack
LenaWriter [7]

Answer:

Clyde has 14 pencils in his backpack

Step-by-step explanation:

Let x be the number of pencils that Clyde has in his backpack.

We can translate this statement “<u><em>Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack</em></u>” mathematically like this :

17=5+\frac{6}{7} x \\\\ \Longleftrightarrow 17-5=\frac{6}{7} x  \\\\ \Longleftrightarrow 12=\frac{6}{7} x \\ \\\Longleftrightarrow x=\frac{12\times 7}{6} =14

6 0
1 year ago
Read 2 more answers
Gene stated that finding
statuscvo [17]

Answer:

Yes, he is correct, just divide any number by 4 and you'll get 25% of that number.

Step-by-step explanation:

3 0
2 years ago
Answer please<br>.........​
Anna007 [38]

Hey there!

The perimeter of the floor plan is 30 inches.

Perimeter is length + length + width + width, so we can do 9 + 9 + 6 + 6 = 30

The area of the floor plan is 54 inches²

Area is length x width, so we can do 9 x 6 = 54

The perimeter of the actual size is 105 feet

First, we can solve the dimensions for the actual size. We know that 2 inches = 7 feet, so we can do 7/2 and get 3.5. This means that for every 1 inch, it's 3.5 feet. Then, we multiply the dimensions by 3.5:

9 x 3.5 = 31.5 feet

6 x 3.5 = 21 feet

Then we solve for perimeter. Perimeter is length + length + width + width, so we can do 31.5 + 31.5 + 21 + 21 = 105

The area of the actual size is 661.5 inches²

Area is length x width, so we can do 31.5 x 21 = 661.5

Hope this helps! Tell me if you need more help.

8 0
3 years ago
Other questions:
  • Do the opposite angles in a parallelogram have the same measure please explain why
    5·1 answer
  • A complex number z_1z 1 ​ z, start subscript, 1, end subscript has a magnitude |z_1|=6∣z 1 ​ ∣=6vertical bar, z, start subscript
    13·1 answer
  • What would be the length of a fingernail that has an area of 6 cm² and a width of 2 cm ? - Physical Science
    9·1 answer
  • Carolyn has $2.55 in her purse in nickels and dimes. The number of nickels is nine less than three times the number of dimes. Fi
    8·1 answer
  • Use the drawing tool(s) to form the correct answer on the provided graph. Graph the function. f(x)= |x+2|-1
    14·1 answer
  • Solve for p :<br> p-4 -136<br> p=
    13·1 answer
  • Find the missing value and show your steps please
    13·2 answers
  • PLEASE HELP!! I'LL GIVE BRAINLEST!!
    11·1 answer
  • Ryan bought a racing bike for $4,000 this month. Its value depreciates by
    11·2 answers
  • In a bar graph space between rectangles is always​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!